CHECK SYLLABUS:
MODULE 1:
Introduction to Engineering Mechanics-statics-basic principles of statics-Parallelogram law,
equilibrium law, principles of superposition and transmissibility, law of action and reaction(review) free body diagrams.
Concurrent coplanar forces-composition and resolution of forces-resultant and equilibrium equations – methods of projections – methods of moments – Varignon’s Theorem of moments.
MODULE 2:
Friction – sliding friction – Coulomb’s laws of friction – analysis of single bodies –wedges, ladder-analysis of connected bodies .
Parallel coplanar forces – couple – resultant of parallel forces – centre of parallel forces – equilibrium of parallel forces – Simple beam subject to concentrated vertical loads. General coplanar force system – resultant and equilibrium equations.
MODULE 3:
Centroid of composite areas- – moment of inertia-parallel axis and perpendicular axis theorems. Polar moment of inertia,radius of gyration,mass moment of inertia-ring,cylinder and disc.
Theorem of Pappus Guldinus(demonstration only) Forces in space – vectorial representation of forces, moments and couples –resultant and equilibrium equations – concurrent forces in space (simple problems only)
MODULE 4:
Dynamics – rectilinear translation – equations of kinematics(review)
kinetics – equation of motion – D’Alembert’s principle. – motion on horizontal and inclined surfaces, motion of connected bodies. Impulse momentum equation and work energy equation (concepts only).
Curvilinear translation – equations of kinematics –projectile motion(review), kinetics – equation of motion. Moment of momentum and work energy equation (concepts only).
MODULE 5:
Rotation – kinematics of rotation- equation of motion for a rigid body rotating about a fixed axis – rotation under a constant moment.
Plane motion of rigid body – instantaneous centre of rotation (concept only).
Simple harmonic motion – free vibration –degree of freedom- undamped free vibration of spring mass system-effect of damping(concept only)